document.write( "Question 760469: Whats the domain of f(x)= $\"+sqrt%28+%28x%2B2%29%2F%28x%5E2-8x%2B15%29+%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #462651 by josgarithmetic(39630) $\"\"$ $\"About$

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Finding and checking around critical points would be the best way. The function is $\"f%28x%29=sqrt%28%28x%2B2%29%2F%28%28x-3%29%28x-5%29%29%29\"$ . Critical points are x element of {-2, 3, 5}. x is allowed to be -2, but is NOT allowed to be 3 or 5. For the rest of finding the domain, check the intervals which the critical points create.\r
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\n" ); document.write( "\n" ); document.write( "The intervals to check are these:
\n" ); document.write( "(-infin, -2]
\n" ); document.write( "[-2, 3)
\n" ); document.write( "(3, 5)
\n" ); document.write( "(5, infin)
\n" ); document.write( "---
\n" ); document.write( "If a value in the interval makes the function true, the the interval is part of the domain; if not true, then it is excluded from the domain. \n" ); document.write( "

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